The distance Laura slides on the newly waxed floor is 15.3 m.
What is kinematics equation?
The equation used is derived from the work-energy principle, where the work done by friction is equal to the change in kinetic energy.
The distance Laura slides on the newly waxed floor is given by kinematic equation:
d = v²/2 μ g
where:
d is the distance Laura slides,
v is the initial speed (6 m/s),
μ is the coefficient of kinetic friction (0.12),
g is the acceleration due to gravity (approximately 9.8 m/s²).
v = 6 m/s
μ = 0.12
g = 9.8 m/s²
d = 6²/2*0.12*9.8
d = 36/2.352
d = 15.3 m
Therefore, the distance Laura slides on the newly waxed floor is 15.3 m.